motion in a straight line notes
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In this case distance and displacement are equal
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Motion in a Straight Line are available here. These notes are helpful for quick revision of the chapter. This article is continuation of Class 11th Physics Notes: Motion in a Straight Line (Part - I) where basic concepts like Rectilinear motion, Frame of Reference, Path Length, Displacement etc are covered. Topics covered in this part are:
Speed
Uniform Speed
Variable Speed
Average Speed
Instantaneous Speed
Velocity
Uniform Velocity
Variable Velocity
Average Velocity
Instantaneous Velocity
Uniform Motion in a straight line
Relative Velocity
The notes are as follows:
Speed
Speed of an object is defined as the ratio of path length and the corresponding time taken by the object
i.e., Speed = Distance travelled/Time taken
Speed is a scalar quantity. Its SI unit is ms‒1. Its dimensional formula is [ML1T‒1].
Uniform Speed
An object is said to be travelling with uniform speed if it covers equal distances in equal interval of time.
Variable Speed
An object is said to be travelling with uniform speed if it covers equal distances in unequal interval of time.
Average Speed
Average speed is defined as the total path length travelled divided by the total time interval during which the motion has taken place:
Average speed = (Total path length)/(Total time interval)
It is a scalar quantity and its SI unit is ms‒1.
Suppose a body covers distances S1, S2, S3… with speeds V1, V2, V3… respectively, in same direction then average speed is given by
Vavg = {Total Distance Travelled}/{Total Time Taken} = {S1 + S2 + ….}/{(S1/ V1) + (S2/ V 2) +...}
Instantaneous Speed
The average velocity tells us how fast an object has been moving over a given time interval but does not tell us how fast it moves at different instants of time during that interval. For this, we define instantaneous.
v = Δx/Δt [where, Δt → 0]
⇒ v = dx/dt
Velocity
Velocity of an object is defined as ration of displacement and the corresponding time interval taken by object i.e., velocity = (displacement)/(time interval), It is a vector quantity.
Uniform Velocity
A body is said to be moving with uniform motion if it undergoes equal displacement in equal interval of time.
Variable Velocity
It is defined as the ratio of displacement and the corresponding time interval taken by the object.
Velocity = (displacement)/(time taken)
It is a vector quantity.
Average Velocity
Average velocity is defined as the change in position or displacement (Δx) divided by the time intervals (Δt), in which the displacement occurs. It is a vector quantity.
Average Velocity = (Δx/Δt).
Instantaneous Velocity
The velocity of an object at a given instant of time is called its instantaneous velocity. When a body is moving with a uniform velocity, its instantaneous velocity = average velocity = uniform velocity.
Uniform Motion in a straight line
An object is said to be in uniform motion if its velocity is uniform, i.e., it undergoes equal displacements in equal interval of time.
Relative Velocity
The relative velocity of an object with respect to another is the velocity with which one object moves with respect to another object.
It is defined as the time rate of change of relative position of one object with respect to another object.
hope it helps you.
Speed
Uniform Speed
Variable Speed
Average Speed
Instantaneous Speed
Velocity
Uniform Velocity
Variable Velocity
Average Velocity
Instantaneous Velocity
Uniform Motion in a straight line
Relative Velocity
The notes are as follows:
Speed
Speed of an object is defined as the ratio of path length and the corresponding time taken by the object
i.e., Speed = Distance travelled/Time taken
Speed is a scalar quantity. Its SI unit is ms‒1. Its dimensional formula is [ML1T‒1].
Uniform Speed
An object is said to be travelling with uniform speed if it covers equal distances in equal interval of time.
Variable Speed
An object is said to be travelling with uniform speed if it covers equal distances in unequal interval of time.
Average Speed
Average speed is defined as the total path length travelled divided by the total time interval during which the motion has taken place:
Average speed = (Total path length)/(Total time interval)
It is a scalar quantity and its SI unit is ms‒1.
Suppose a body covers distances S1, S2, S3… with speeds V1, V2, V3… respectively, in same direction then average speed is given by
Vavg = {Total Distance Travelled}/{Total Time Taken} = {S1 + S2 + ….}/{(S1/ V1) + (S2/ V 2) +...}
Instantaneous Speed
The average velocity tells us how fast an object has been moving over a given time interval but does not tell us how fast it moves at different instants of time during that interval. For this, we define instantaneous.
v = Δx/Δt [where, Δt → 0]
⇒ v = dx/dt
Velocity
Velocity of an object is defined as ration of displacement and the corresponding time interval taken by object i.e., velocity = (displacement)/(time interval), It is a vector quantity.
Uniform Velocity
A body is said to be moving with uniform motion if it undergoes equal displacement in equal interval of time.
Variable Velocity
It is defined as the ratio of displacement and the corresponding time interval taken by the object.
Velocity = (displacement)/(time taken)
It is a vector quantity.
Average Velocity
Average velocity is defined as the change in position or displacement (Δx) divided by the time intervals (Δt), in which the displacement occurs. It is a vector quantity.
Average Velocity = (Δx/Δt).
Instantaneous Velocity
The velocity of an object at a given instant of time is called its instantaneous velocity. When a body is moving with a uniform velocity, its instantaneous velocity = average velocity = uniform velocity.
Uniform Motion in a straight line
An object is said to be in uniform motion if its velocity is uniform, i.e., it undergoes equal displacements in equal interval of time.
Relative Velocity
The relative velocity of an object with respect to another is the velocity with which one object moves with respect to another object.
It is defined as the time rate of change of relative position of one object with respect to another object.
hope it helps you.
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